%0 Journal Article %T A fixed point method for nonlinear equations involving a duality mapping defined on product spaces %A Jenica Cringanu %A Daniel Pasca %J Electronic Journal of Differential Equations %D 2013 %I Texas State University %X The aim of this paper is to obtain solutions for the equation $$ J_{q,p} (u_1,u_2) =N_{f,g}(u_1,u_2), $$ where $J_{q,p}$ is the duality mapping on a product of two real, reflexive and smooth Banach spaces $X_1, X_2$, corresponding to the gauge functions $varphi_1(t)=t^{q-1}$, $varphi_2(t)=t^{p-1}$, $1 %K Duality mapping %K Leray-Schauder degree %K (q %K p)-Laplacian %U http://ejde.math.txstate.edu/Volumes/2013/26/abstr.html